## Engage NY Eureka Math 4th Grade Module 5 Lesson 2 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 2 Problem Set Answer Key

Question 1.

Step 1: Draw and shade a tape diagram of the given fraction.

Step 2: Record the decomposition as a sum of unit fractions.

Step 3: Record the decomposition of the fraction two more ways.

(The first one has been done for you.)

a. \(\frac{5}{8}\)

b. \(\frac{9}{10}\)

Answer:

9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.

9/10 = 5 /10 + 4 /10 + 1/10.

9/10 = 3/10 + 2/10 + 3/10 + 1/10.

c. \(\frac{3}{2}\)

Answer:

3/2 = 1/2 + 2/2.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

3/2 = 1/2 + 2/2.

3/2 = 1/2 + 1/2 + 1/2.

Question 2.

Step 1: Draw and shade a tape diagram of the given fraction.

Step 2: Record the decomposition of the fraction in three different ways using number sentences.

a. \(\frac{7}{8}\)

Answer:

7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.

7/8 = 1 /8 + 4 /10 + 2/8.

7/8 = 1/8 + 2/8 + 3/8 + 1/8.

b. \(\frac{5}{3}\)

Answer:

5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

5/3 = 1 /3 + 2/3 + 2/3.

5/3 = 1/3 + 2/3 + 1/3 + 1/3.

c. \(\frac{7}{5}\)

Answer:

5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.

5/7 = 1 /7 + 2/7 + 2/7.

5/7 = 1/7 + 1/7 + 2/7 + 1/7.

d. 1\(\frac{1}{3}\)

Answer:

4/3 = 1/3 + 1/3 + 1/3 + 1/3.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

4/3 = 1/3 + 1/3 + 1/3 + 1/3.

4/3 = 1 /3 + 2/3 + 1/3.

4/3 = 1/3 + 1/3 + 2/3.

### Eureka Math Grade 4 Module 5 Lesson 2 Exit Ticket Answer Key

Step 1: Draw and shade a tape diagram of the given fraction.

Step 2: Record the decomposition of the fraction in three different ways using number sentences.

\(\frac{4}{7}\)

Answer:

4/7 = 1/7 + 1/7 + 1/7 + 1/7.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

4/7 = 1/7 + 1/7 + 1/7 + 1/7.

4/7 = 1 /7 + 2/7 + 1/7.

4/7 = 1/7 + 1/7 + 2/7.

### Eureka Math Grade 4 Module 5 Lesson 2 Homework Answer Key

Question 1.

Step 1: Draw and shade a tape diagram of the given fraction.

Step 2: Record the decomposition as a sum of unit fractions.

Step 3: Record the decomposition of the fraction two more ways.

(The first one has been done for you.)

a. \(\frac{5}{6}\)

b. \(\frac{6}{8}\)

Answer:

6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

6/8 = 1 /8 + 2/8 + 2/8 + 1/8.

6/8 = 1/8 + 2/8 + 3/8.

c. \(\frac{7}{10}\)

Answer:

7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.

7/10 = 1 /10 + 2/10 + 4/10 + 3/10.

7/10 = 1/10 + 2/10 + 7/10.

Question 2.

Step 1: Draw and shade a tape diagram of the given fraction.

Step 2: Record the decomposition of the fraction in three different ways using number sentences.

a. \(\frac{10}{12}\)

Answer:

10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.

10/12 = 1 /12 + 2/12 + 4/12 + 3/12.

10/12 = 1/12 + 2/12 + 7/12.

b. \(\frac{5}{4}\)

Answer:

5/4 = 1/4 + 2/4 + 1/4 + 1/4.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

5/4 = 1/4 + 2/4 + 1/4 + 1/4.

5/4 = 1 /4 + 24 + 1/4 + 1/4.

5/4 = 1/4 + 2/4 + 1/4.

c. \(\frac{6}{5}\)

Answer:

5/6 = 1/6 + 2/6 + 1/6 + 1/6.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

5/6 = 1/6 + 2/6 + 1/6 + 1/6.

5/6 = 1 /6 + 2/6+ 1/6 + 1/6.

5/6 = 1/6 + 2/6 + 2/6.

d. 1\(\frac{1}{4}\)

Answer:

5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

Explanation:

In the above-given question,

given that,

draw and shade a tape diagram.

5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

5/4 = 1 /4 + 2/4 + 1/4 + 1/4.

5/4 = 1/4 + 2/4 + 2/4.